Compare Linear Functions

Compare the rates of change. Do they have the same rate of change? If they have different rates of change, which one is greater?

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CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Who is losing weight faster?

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CCSS.8.F.A.2

CCSS.HSF.IF.C.9

What is the rate of change for each function, and which one has the greater rate of change?

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CCSS.8.F.B.4

CCSS.HSF.IF.B.6

Who has the greater rate of change?

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CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Who has a greater rate of change? (slope)

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CCSS.8.F.A.2

CCSS.HSF.IF.C.9

What type of slope is shown on this graph?

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CCSS.8.EE.B.5

Rich is a member of a gym. He pays a monthly fee plus a per-visit fee. The equation below represents the monthly amount Rich pays for his membership to the gym per month for x visits. y = 3x + 10 What does the y-intercept (b) of the graph of this equation represent?

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CCSS.HSF.LE.B.5

Charlie rented a moving truck. He paid a daily fee plus a per-mile fee to rent the truck. The equation below represents the daily amount Charlie paid for the truck if he drives it x miles.

y = 1/2x + 10

What does the slope (m) of the graph of this equation represent?

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CCSS.HSF.LE.B.5

Equation A: y = 2x + 3

Equation B: y = 3x - 3

Which equation has a higher slope?

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CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Equation A: y = 3x - 1

Equation B: y = 1/2x + 1

Which equation has a higher y-intercept?

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CCSS.8.F.A.2

CCSS.HSF.IF.C.9